\begin{table}[htbp]\centering
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Appendix Table: First-stage estimates for mother time/goods relative demand using different predicted wage measures as instruments (ALL, 1-2 kids ages 0-12, P(work) $\geq$ .75, 2002 and 2007)}
\begin{tabular}{l*{4}{c}}
\hline\hline
               &\multicolumn{1}{c}{(1)}&\multicolumn{1}{c}{(2)}&\multicolumn{1}{c}{(3)}&\multicolumn{1}{c}{(4)}\\
               &\multicolumn{1}{c}{Uses All Variation}&\multicolumn{1}{c}{Excludes Avg. State Diff.}&\multicolumn{1}{c}{Excludes Avg. Occ Diff.}&\multicolumn{1}{c}{Excludes Avg. State and Occ Diff.}\\
               &      b/se         &      b/se         &      b/se         &      b/se         \\
\hline
Mother's       &     1.084\sym{***}&                   &                   &                   \\
predicted log wage&   (0.103)         &                   &                   &                   \\
Married        &    -0.045         &    -0.057         &    -0.055         &    -0.058         \\
               &   (0.046)         &   (0.047)         &   (0.049)         &   (0.049)         \\
Child's age    &    -0.009         &    -0.011         &    -0.012         &    -0.013         \\
               &   (0.011)         &   (0.011)         &   (0.011)         &   (0.012)         \\
Mother some    &     0.191\sym{***}&     0.201\sym{***}&     0.270\sym{***}&     0.271\sym{***}\\
coll.          &   (0.049)         &   (0.050)         &   (0.051)         &   (0.052)         \\
Mother coll+   &     0.433\sym{***}&     0.448\sym{***}&     0.610\sym{***}&     0.596\sym{***}\\
               &   (0.052)         &   (0.053)         &   (0.054)         &   (0.055)         \\
Mother's age   &     0.009\sym{*}  &     0.012\sym{***}&     0.009\sym{*}  &     0.011\sym{**} \\
               &   (0.004)         &   (0.004)         &   (0.004)         &   (0.004)         \\
Mother white   &     0.026         &     0.089\sym{*}  &     0.073         &     0.096\sym{*}  \\
               &   (0.043)         &   (0.044)         &   (0.046)         &   (0.048)         \\
Num children   &     0.039         &     0.032         &     0.042         &     0.035         \\
age 0-5        &   (0.060)         &   (0.062)         &   (0.064)         &   (0.065)         \\
Num of children&    -0.047         &    -0.055         &    -0.069\sym{*}  &    -0.074\sym{*}  \\
               &   (0.030)         &   (0.030)         &   (0.031)         &   (0.032)         \\
Mother's       &                   &     1.002\sym{***}&                   &                   \\
predicted log wage&                   &   (0.110)         &                   &                   \\
Mother's       &                   &                   &     0.762\sym{***}&                   \\
predicted log wage&                   &                   &   (0.178)         &                   \\
Mother's       &                   &                   &                   &     0.373         \\
predicted log wage&                   &                   &                   &   (0.209)         \\
\_cons         &     0.295         &     0.428         &     0.537         &     1.323\sym{**} \\
               &   (0.229)         &   (0.241)         &   (0.395)         &   (0.453)         \\
\hline
F\_all\_5        &   111.602         &    82.826         &    18.363         &     3.187         \\
N              &       720         &       720         &       720         &       720         \\
\hline\hline
\end{tabular}
\end{table}
